3355660800 has 180 divisors, whose sum is σ = 12009395970. Its totient is φ = 894812160.

The previous prime is 3355660771. The next prime is 3355660843. The reversal of 3355660800 is 80665533.

It can be written as a sum of positive squares in 3 ways, for example, as 2083739904 + 1271920896 = 45648^2 + 35664^2 .

It is a tau number, because it is divible by the number of its divisors (180).

It is a super-2 number, since 2×3355660800² = 22520918809313280000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 100636 + ... + 129764.

Almost surely, 2^3355660800 is an apocalyptic number.

3355660800 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3355660800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6004697985).

3355660800 is an abundant number, since it is smaller than the sum of its proper divisors (8653735170).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3355660800 is a wasteful number, since it uses less digits than its factorization.

3355660800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29163 (or 29139 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The square root of 3355660800 is about 57928.0657367394. The cubic root of 3355660800 is about 1497.1294434409.

The spelling of 3355660800 in words is "three billion, three hundred fifty-five million, six hundred sixty thousand, eight hundred".